I have found the 1861 and 1851 for Joseph Palmer with his first wife Mary Ann
Not sure if Mary Ann was born Stourport or Stockport as one of the enumerators seems to have made a mistake.
1861 Grove Lane, Smethwick/Harborne/Worcestershire
Joseph Palmer – head – 37- shoe maker – b. Warwickshire (1824)
Mary A – wife – 35 – b. Stockport, Lancashire (1826)
Arthur Palmer – son- 12 – shoemaker – b. Tipton, Staffordshire (1849)
Theopholis Palmer – son- 9 – scholar – b. Dudley Port, Staffordshire (1852)
Samuel Palmer – son – 7 – scholar – b. Rounds Green, Worcestershire (1854)
Emanuel Palmer – son – 5 – scholar – b. Rounds Green, Worcestershire (1856)
Enoch Palmer - son – 3 – b. Rounds Green, Worcestershire (1858)
Emelia Palmer – daughter – 1 – b. Smethwick, Staffordshire (1860)
Jane Barber – servant – 12 – house servant – b. Ashton, Lancashire (1849) (relative of Mary Ann’s?)
1851 Canal Street, Tipton
Joseph Palmer – head – 27 – shoemaker - Journeyman – b. Henley in Arden
Maryann Palmer – wife – 25 – b Stourport, Worcestershire
(blank) Palmer – son - 2 – b. Tipton, Staffordshire (1849) – so probably Arthur on the 1861)
George Parkes –lodger – married – 23 – malster Journeyman – b. Inkberrow (1828)
Mary Ann Parker – lodger – married – 20 – b.Tipton, Staffordshire (1831)
I think this is Joseph age 16 – hopefully with his parents - William and Elizabeth
1841 Princes End, Tipton Dudley
William Palmer – 55 – not born in county (1786)
Elizabeth Palmer – 45 – b. Staffordshire (1796)
Thomas Palmer – 28 – b. Staffordshire (1813)
John Palmer – 20 - b. Staffordshire (1821)
Joseph Palmer – 16 –b. Staffordshire (1825)
Benjamin Palmer-13 - b. Staffordshire (1828)
Elizabeth Palmer – 11- b. Staffordshire (1830)
Ester Palmer – 9 - b. Staffordshire (1832)